852211609168320 has 448 divisors, whose sum is σ = 3192707074527360. Its totient is φ = 213253707792384.

The previous prime is 852211609168319. The next prime is 852211609168321. The reversal of 852211609168320 is 23861906112258.

852211609168320 is a `hidden beast` number, since 8 + 5 + 2 + 2 + 1 + 1 + 609 + 1 + 6 + 8 + 3 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (852211609168319) and next prime (852211609168321).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852211609168321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40890112 + ... + 58107008.

Almost surely, 2^{852211609168320} is an apocalyptic number.

852211609168320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 852211609168320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596353537263680).

852211609168320 is an abundant number, since it is smaller than the sum of its proper divisors (2340495465359040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

852211609168320 is a wasteful number, since it uses less digits than its factorization.

852211609168320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17217277 (or 17217261 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 852211609168320 in words is "eight hundred fifty-two trillion, two hundred eleven billion, six hundred nine million, one hundred sixty-eight thousand, three hundred twenty".